Defining parameters
| Level: | \( N \) | \(=\) | \( 1089 = 3^{2} \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1089.d (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 33 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(792\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(1089, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 684 | 180 | 504 |
| Cusp forms | 636 | 180 | 456 |
| Eisenstein series | 48 | 0 | 48 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(1089, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(1089, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(1089, [\chi]) \cong \)